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1997, Volume 33, Number 1  


Science People
Yuriǐ Alekseevich Mitropol'skiǐ (on the occasion of his eightieth birthday)
V. A. Il'in, N. A. Izobov, A. A. Martynyuk, A. M. Samoilenko
3
Ivan Tarielovich Kiguradze (on the occasion of his sixtieth birthday)
N. V. Azbelev, I. V. Gaishun, N. A. Izobov, V. A. Il'in, R. G. Koplatadze, N. Kh. Rozov, T. K. Shemjakina
6

Ordinary Differential Equations
A trace formula for an equation of the oscillations of a rectilinear pipeline
E. V. Aleksandrova
12
On Hilbert and Bessel inequalities for some sine, cosine and exponential systems
V. D. Budaev
19
On a nonlocal spectral problem
E. I. Galakhov, A. L. Skubachevskii
25
On the change of a finite number of elements in a system of root functions of a differential operator without loss of the basis property
V. A. Gorelov
33
On the eigenvalue problem for the Sturm–Liouville operator with a potential that depends on the spectral parameter
P. E. Zhidkov
39
On the Cauchy problem for evolution singular functional-differential equations
I. T. Kiguradze, Z. P. Sokhadze
48
Vector fields in the direct product of spaces, and applications to differential equations
A. M. Krasnosel'skii, M. A. Krasnosel'skii
60
The direct Lyapunov method in estimates for the fractal dimension of attractors
G. A. Leonov, S. A. Lyashko
68
On a theorem of Aronszajn
V. V. Filippov
75

Partial Differential Equations
On the localization of spectral expansions of distributions in a closed domain
Sh. A. Alimov, A. A. Rakhimov
80
On properties of generalized solutions of one-dimensional linear parabolic problems with nonsmooth coefficients
A. A. Amosov, A. A. Zlotnik
83
The Schrödinger equation and Feynman dynamics
A. A. Dezin
96
Meyer-type estimates for solving the nonlinear Stokes system
V. V. Zhikov
107
On spectral problems with a spectral parameter in the boundary condition
N. Yu. Kapustin, E. I. Moiseev
115
Order-sharp estimates for the maxima of moduli of associated functions of the Schrödinger operator
A. S. Makin
120

Short Communications
Analytic solution of a problem of nonstationary convective heat exchange with aftereffect
A. N. Zarubin
130
Systems of three differential equations that do not have solutions with moving essentially singular points
I. N. Mel'nikova
132
On conditions for the discreteness of the spectrum for a general pseudo-differential operator
S. R. Umarov, È. M. Saidamatov
133

Chronicle
О семинаре по проблемам нелинейной динамики и управления при Московском государственном университете им. М. В. Ломоносова
136
 
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